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Finding the Fourth Proportional to 8,963.09, 13,405.33 and 7,982.82

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Solution

The fourth proportional to 8,963.09, 13,405.33 and 7,982.82 is: 11,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.09 : 13,405.33 = 7,982.82 : x
  2. Step 2: Convert to fraction form
    8,963.09/13,405.33 = 7,982.82/x
  3. Step 3: Cross multiply
    8,963.09x = 13,405.33 × 7,982.82
  4. Step 4: Simplify right side
    8,963.09x = 107,012,336.43
  5. Step 5: Solve for x
    x = 107,012,336.43/8,963.09
  6. Step 6: Final answer
    x = 11,939.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.